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Finding the Fourth Proportional to 580.88, 875.42 and 575.84

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Solution

The fourth proportional to 580.88, 875.42 and 575.84 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 875.42 = 575.84 : x
  2. Step 2: Convert to fraction form
    580.88/875.42 = 575.84/x
  3. Step 3: Cross multiply
    580.88x = 875.42 × 575.84
  4. Step 4: Simplify right side
    580.88x = 504,101.85
  5. Step 5: Solve for x
    x = 504,101.85/580.88
  6. Step 6: Final answer
    x = 867.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.